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viva [34]
2 years ago
9

7. Write an expression that is equivalent to

Mathematics
1 answer:
Alborosie2 years ago
7 0

Answer:

5r - 40

Step-by-step explanation:

If you simplify 5(r - 8), you will get 5r - 40. This is called distributed property.

Hope this helps, thank you !!

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The sum of 5 times a number and 4 is equal to 6
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Answer:

5(x+4)=6

5 times a number and (+) 4 is equal to 6.

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18 is what percentage of 25
pentagon [3]

Answer:

Step-by-step explanation:

72%

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3 years ago
Read 2 more answers
To obtain information on the corrosion-resistance properties of a certain type of steel conduit, 45 specimens are buried in soil
Debora [2.8K]

Answer:

statistic value t= 5.43

p-value: < 0.00001.

Step-by-step explanation:

Hello!

To obtain information over the corrosion-resistance properties of a certain type of steel conduit a random sample of 45 specimens was taken and buried for two years.

The study variable is:

X: Max. penetration of a steel conduit.

The data of the sample

n= 45

sample mean X[bar]= 53.4

sample standard deviation S= 4.2

The conduits are manufactured to have a true average penetration of at most 50 mills, symbolically: μ ≤ 50

The hypothesis is:

H₀: μ ≤ 50

H₁: μ > 50

α: 0.05

To choose the corresponding statistic to use to study the population mean, the variable must have a normal distribution. There is no available information to check this, so I'll just assume that the variable has a normal distribution and, since the population variance is unknown and the sample is small, the statistic to use is a Student t.

Under the null hypothesis, the critical region and the p-value are one-tailed.

Critical value:

t_{n-1; 1-\alpha } = t_{44; 0.95} = 1.68

Rejection rule:

Reject the null hypothesis when t ≥ 1.68

t= \frac{53.4 - 50}{\frac{4.2}{\sqrt{45} } }

t= 5.43

The calculated value is greater than the critical value, thedecision is to rject the null hypothesis.

p-value:

P(t ≥ 5.43) = 1 - P(t < 5.43) = < 0.00001.

The p-value is less than α so the decision is to reject the null hypothesis.

Since the null hypothesis was rejected, then the population average of the penetration of the conduits specimens is greater than 50 mils. It is not recommendable to use these conduits.

I hope it helps!

4 0
3 years ago
Katie is making covers for metal nameplates. She needs to know how much plastic, at minimum, she’ll need to fully cover 30 namep
grigory [225]
1404 is the surface area of 30 nameplates.
8 0
3 years ago
(–9) • (8) – (9) • (–9)
elena-s [515]

Answer:

10

Step-by-step explanation:


7 0
3 years ago
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